Search a number
-
+
2453255808 = 27323893121
BaseRepresentation
bin1001001000111001…
…1011011010000000
320022222020022022020
42102032123122000
520011013141213
61043233441440
7114536221203
oct22216333200
96288208266
102453255808
111049887443
12585710280
13301343c73
14193b6393a
15e5595923
hex9239b680

2453255808 has 128 divisors (see below), whose sum is σ = 6878390400. Its totient is φ = 773160960.

The previous prime is 2453255789. The next prime is 2453255843. The reversal of 2453255808 is 8085523542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2453255808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784488 + ... + 787608.

It is an arithmetic number, because the mean of its divisors is an integer number (53737425).

Almost surely, 22453255808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2453255808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439195200).

2453255808 is an abundant number, since it is smaller than the sum of its proper divisors (4425134592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2453255808 is a wasteful number, since it uses less digits than its factorization.

2453255808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The square root of 2453255808 is about 49530.3523912358. The cubic root of 2453255808 is about 1348.6966493619.

The spelling of 2453255808 in words is "two billion, four hundred fifty-three million, two hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 89 92 96 128 138 178 184 192 267 276 356 368 384 534 552 712 736 1068 1104 1424 1472 2047 2136 2208 2848 2944 3121 4094 4272 4416 5696 6141 6242 8188 8544 8832 9363 11392 12282 12484 16376 17088 18726 24564 24968 32752 34176 37452 49128 49936 65504 71783 74904 98256 99872 131008 143566 149808 196512 199744 215349 262016 277769 287132 299616 393024 399488 430698 555538 574264 599232 786048 833307 861396 1111076 1148528 1198464 1666614 1722792 2222152 2297056 3333228 3445584 4444304 4594112 6388687 6666456 6891168 8888608 9188224 12777374 13332912 13782336 17777216 19166061 25554748 26665824 27564672 35554432 38332122 51109496 53331648 76664244 102218992 106663296 153328488 204437984 306656976 408875968 613313952 817751936 1226627904 2453255808